Hamilton-Jacobi equations for optimal control on multidimensional junctions

Autor:	Oudet, Salomé
Rok vydání:	2014
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We consider continuous-state and continuous-time control problems where the admissible trajectories of the system are constrained to remain on a union of half-planes which share a common straight line. This set will be named a junction. We define a notion of constrained viscosity solution of Hamilton-Jacobi equations on the junction and we propose a comparison principle whose proof is based on arguments from the optimal control theory. Comment: 37 pages and 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.2679 Zobrazit plný text záznamu View this record from Arxiv